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Simplifying 3ac + 78 = 33a Reorder the terms: 78 + 3ac = 33a Solving 78 + 3ac = 33a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33a' to each side of the equation. 78 + -33a + 3ac = 33a + -33a Combine like terms: 33a + -33a = 0 78 + -33a + 3ac = 0 Add '-78' to each side of the equation. 78 + -33a + -78 + 3ac = 0 + -78 Reorder the terms: 78 + -78 + -33a + 3ac = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -33a + 3ac = 0 + -78 -33a + 3ac = 0 + -78 Combine like terms: 0 + -78 = -78 -33a + 3ac = -78 Reorder the terms: 78 + -33a + 3ac = -78 + 78 Combine like terms: -78 + 78 = 0 78 + -33a + 3ac = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(26 + -11a + ac) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(26 + -11a + ac)' equal to zero and attempt to solve: Simplifying 26 + -11a + ac = 0 Solving 26 + -11a + ac = 0 Move all terms containing a to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -11a + -26 + ac = 0 + -26 Reorder the terms: 26 + -26 + -11a + ac = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -11a + ac = 0 + -26 -11a + ac = 0 + -26 Combine like terms: 0 + -26 = -26 -11a + ac = -26 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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